Geometric interpretation of the Pancharatnam connection and non-cyclic polarization changes

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Geometric interpretation of the Pancharatnam connection and non-cyclic polarization changes.

If the state of polarization of a monochromatic light beam is changed in a cyclical manner, the beam acquires-in addition to the usual dynamic phase-a geometric phase. This geometric or Pancharatnam-Berry phase equals half the solid angle of the contour traced out on the Poincaré sphere. We show that such a geometric interpretation also exists for the Pancharatnam connection, the criterion acco...

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The Pancharatnam-Berry phase for non-cyclic polarization changes.

We present a novel setup that allows the observation of the geometric phase that accompanies polarization changes in monochromatic light beams for which the initial and final states are different (so-called non-cyclic changes). This Pancharatnam-Berry phase can depend in a linear or in a nonlinear fashion on the orientation of the optical elements, and sometimes the dependence is singular. Expe...

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Polarization Images: A Geometric Interpretation for Shape Analysis

This paper presents a framework for the geometric interpretation of a single polarization image taken of specular reflecting objects. The task of recovering 3D shape information of specular objects from intensity images is a difficult if not impossible one, as no intensity based features are available. Polarization analysis provides additional features to overcome the problem. In particular the...

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ژورنال

عنوان ژورنال: Journal of the Optical Society of America A

سال: 2010

ISSN: 1084-7529,1520-8532

DOI: 10.1364/josaa.27.001972